106876960 has 48 divisors (see below), whose sum is σ = 267356376. Its totient is φ = 40235008.

The previous prime is 106876951. The next prime is 106876963. The reversal of 106876960 is 69678601.

It can be written as a sum of positive squares in 4 ways, for example, as 106750224 + 126736 = 10332^2 + 356^2 .

It is a super-2 number, since 2×106876960² = 22845369157683200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106876963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16927 + ... + 22366.

Almost surely, 2^106876960 is an apocalyptic number.

106876960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106876960 is an abundant number, since it is smaller than the sum of its proper divisors (160479416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106876960 is a wasteful number, since it uses less digits than its factorization.

106876960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39325 (or 39317 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 106876960 is about 10338.1313591964. The cubic root of 106876960 is about 474.5638989038.

The spelling of 106876960 in words is "one hundred six million, eight hundred seventy-six thousand, nine hundred sixty".